Relevant bibliographies by topics / Classical Plasticity Theory

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Classical Plasticity Theory'

Author: Grafiati
Published: 4 June 2021
Last updated: 6 September 2023

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Journal articles on the topic "Classical Plasticity Theory"

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Wilson, C. D. "A Critical Reexamination of Classical Metal Plasticity." Journal of Applied Mechanics 69, no. 1 (2001): 63–68. http://dx.doi.org/10.1115/1.1412239.

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P. W. Bridgman’s early work on flow and fracture in the presence of hydrostatic pressure showed no systematic effect on strain hardening. This experimental observation led to the conclusions that yielding does not depend on hydrostatic stress and that the yielded material is incompressible. Classical plasticity theory was largely built on these observations. New experiments and nonlinear finite element analyses of 2024-T351 aluminum notched round bars has quantified the effect of hydrostatic tensile stresses on yielding. Nonlinear finite element analyses using the von Mises (yielding is independent of hydrostatic stress) and the Drucker-Prager (yielding is linearly dependent on hydrostatic stress) yield functions was performed. The von Mises results overestimated experimental load-displacement curves by 10–65 percent. The Drucker-Prager results essentially matched the experimental results. The only additional data requirement for the Drucker-Prager yield function is the compressive yield strength.
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Gao, X. L. "Analytical Solution of a Borehole Problem Using Strain Gradient Plasticity." Journal of Engineering Materials and Technology 124, no. 3 (2002): 365–70. http://dx.doi.org/10.1115/1.1480408.

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An analytical solution is presented for the borehole problem of an elasto-plastic plane strain body containing a traction-free circular hole and subjected to uniform far field stress. A strain gradient plasticity theory is used to describe the constitutive behavior of the material undergoing plastic deformations, whereas the generalized Hooke’s law is invoked to represent the material response in the elastic region. This gradient plasticity theory introduces a higher-order spatial gradient of the effective plastic strain into the yield condition to account for the nonlocal interactions among material points, while leaving other relations in classical plasticity unaltered. The solution gives explicit expressions for the stress, strain, and displacement components. The hole radius enters these expressions not only in nondimensional forms but also with its own dimensional identity, unlike classical plasticity-based solutions. As a result, the current solution can capture the size effect in a quantitative manner. The classical plasticity-based solution of the borehole problem is obtained as a special case of the present solution. Numerical results for the plastic region radius and the stress concentration factor are provided to illustrate the application and significance of the newly derived solution.
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Clifton, R. J. "Metal Plasticity." Applied Mechanics Reviews 38, no. 10 (1985): 1261–63. http://dx.doi.org/10.1115/1.3143686.

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Advances in metal forming, lifetime of turbine blades, load carrying capacity of metal structures, armor penetration, and fracture resistance of structural metals all rely on improved understanding of the plasticity of metals. Because of the inherent complexity of the plastic response of metals, development of the required understanding requires a major sustained research effort. Advances in theory, experiment, and numerical methods are required. Classical plasticity theory, although of great value in routine applications involving nearly proportional loading of metal structures, is unsatisfactory for numerous important applications involving, for example, large deformations, cyclic loading, high temperatures, localized shearing, or high strain rates. A more physically based plasticity theory is needed to address the wide class of problems faced in modern technology. Development of such a theory requires critical experiments that show the relationship between microscopic mechanisms and macroscopic plastic response as well as provide a basis for determining the validity of proposed theories. Inclusion of rate dependence, large deformations, nonproportional loading, temperature sensitivity, and the effects of grain boundaries is important in the development of a more comprehensive theory. Remarkable increases in the size and speed of computers are removing computational obstacles to the use of more realistic plasticity theories. Relaxation of computing constraints provides an exceptional opportunity for major advances on technological problems involving plasticity. Accurate, efficient computer codes are required that are suitable even for cases involving softening due to such effects as grain rotations and the expansion of voids. Capability for predicting failure due to the formation of shear bands and the coalescence of voids is a major need. Physical principles governing damage accumulation during general loading histories need to be determined and represented in computer codes.
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Chung, Kwansoo, and Sergei Alexandrov. "Ideal Flow in Plasticity." Applied Mechanics Reviews 60, no. 6 (2007): 316–35. http://dx.doi.org/10.1115/1.2804331.

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Ideal plastic flows constitute a class of solutions in the classical theory of plasticity based on, especially for bulk forming cases, Tresca’s yield criterion without hardening and its associated flow rule. They are defined by the condition that all material elements follow the minimum plastic work path, a condition which is believed to be advantageous for forming processes. Thus, the ideal flow theory has been proposed as the basis of procedures for the direct preliminary design of forming processes, which mainly involve plastic deformation. The aim of the present review is to provide a summary of both the theory of ideal flows and its applications. The theory includes steady and nonsteady flows, which are divided into three sections, respectively: plane-strain flows, axisymmetric flows, and three-dimensional flows. The role of the method of characteristics, including the computational aspect, is emphasized. The theory of ideal membrane flows is also included but separately because of its advanced applications based on finite element numerical codes. For membrane flows, restrictions on the constitutive behavior of materials are significantly relaxed so that more sophisticated anisotropic constitutive laws with hardening are accounted for. In applications, the ideal plastic flow theory provides not only process design guidelines for current forming processes under realistic tool constraints, but also proposes new ultimate optimum process information for futuristic processes.
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Guan, Ping, ChangChun Liu, and HeXiang Lü. "Development of a unified viscoplasticity constitutive model based on classical plasticity theory." Science in China Series E: Technological Sciences 52, no. 5 (2009): 1248–53. http://dx.doi.org/10.1007/s11431-009-0036-1.

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Jiang, H., Y. Huang, T. F. Guo, and K. C. Hwang. "An Alternative Decomposition of the Strain Gradient Tensor." Journal of Applied Mechanics 69, no. 2 (2001): 139–41. http://dx.doi.org/10.1115/1.1430666.

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An alternative decomposition of the strain gradient tensor is proposed in this paper in order to ensure that the deviatoric strain gradient vanishes for an arbitrary volumetric strain field, which is consistent with the physical picture of plastic deformation. The theory of mechanism-based strain gradient (MSG) plasticity is then modified accordingly based on this new decomposition. The numerical study of the crack-tip field based on the new theory shows that the crack tip in MSG plasticity has the square-root singularity, and the stress level is much higher than the HRR field in classical plasticity.
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ZHANG, TINGTING, XIAOSHENG GAO, BRYAN A. WEBLER, BRIAN V. COCKERAM, MATTHEW HAYDEN, and STEPHEN M. GRAHAM. "APPLICATION OF THE PLASTICITY MODELS THAT INVOLVE THREE STRESS INVARIANTS." International Journal of Applied Mechanics 04, no. 02 (2012): 1250021. http://dx.doi.org/10.1142/s1758825112500214.

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Increasing experimental evidence shows that the classical J2 plasticity theory may not fully describe the plastic response of many materials, including some metallic alloys. In this paper, the effect of stress state on plasticity and the general forms of the yield function and flow potential for isotropic materials are assumed to be functions of the first invariant of the stress tensor (I1) and the second and third invariants of the deviatoric stress tensor (J2 and J3). A 5083 aluminum alloy, Nitronic 40 (a stainless steel), and Zircaloy-4 (a zirconium alloy) were tested under tension, compression, torsion, combined torsion–tension and combined torsion–compression at room temperature to demonstrate the applicability of a proposed I1-J2-J3 dependent model. The I1-J2-J3 dependent plasticity model was implemented in ABAQUS via a user defined subroutine. The model parameters were determined and validated by comparing the numerically predicted and experimentally measured load versus displacement and/or torque versus twist angle curves. The results showed that the proposed model incorporating the I1-J2-J3 dependence produced output that matched experimental data more closely than the classical J2 plasticity theory for the loading conditions and materials tested.
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Boychenko, N. V. "Crack root radius effect on stress fields under nonlinear." PNRPU Mechanics Bulletin, no. 4 (December 15, 2021): 29–40. http://dx.doi.org/10.15593/perm.mech/2021.4.04.

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The influence of crack root radius and plastic material properties on the crack tip fields was evaluated by strain gradient plasticity theory, and classical plasticity theory. A conventional mechanism-based strain gradient (CMSG) plasticity theory was used in the study. The stress fields in single edge tension specimen are investigated numerically for a wide range of the crack tip radius variations. Five values of the crack tip curvature radius ρ = 0 (mathematical notch); ρ = 25 nm, ρ = 30 nm, ρ = 60 nm and ρ = 100 nm were investigated. The strain hardening exponent varied from N = 0.075 to N = 0.4. A stress analysis by CMSG plasticity was performed for two values of the Taylor’s length parameter l = 1μm and l = 10μm. The boundaries of the local areas, where the influence of the crack tip radius is realized were determined for both HRR and CMSG plasticity. The sizes of the dominance area of the strain gradient plasticity were established and their approximation equations were presented. The influence of the plastic properties and the Taylor’s length scale parameter on the stress fields in the vicinity of rhe crack tip was estimated for the strain gradient plasticity.
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Altenbach, Holm. "Book Review: Andrzej Sluzalec, Theory of Metal Forming Plasticity. Classical and Advanced Topics." ZAMM 85, no. 2 (2005): 131. http://dx.doi.org/10.1002/zamm.200590008.

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Senashov, S. I., and A. M. Vinogradov. "Symmetries and conservation laws of 2-dimensional ideal plasticity." Proceedings of the Edinburgh Mathematical Society 31, no. 3 (1988): 415–39. http://dx.doi.org/10.1017/s0013091500006817.

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Symmetry theory is of fundamental importance in studying systems of partial differential equations. At present algebras of classical infinitesimal symmetry transformations are known for many equations of continuum mechanics [1, 2, 4]. Methods foi finding these algebras go back to S. Lie's works written about 100 years ago. Ir particular, knowledge of symmetry algebras makes it possible to construct effectively wide classes of exact solutions for equations under consideration and via Noether's theorem to find conservation laws for Euler–Lagrange equations. The natural development of Lie's theory is the theory of “higher” symmetries and conservation laws [5].
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Dissertations / Theses on the topic "Classical Plasticity Theory"

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Reddy, Annem Narayana. "A New Variable Moduli 14-Node Element For Elasto-Plastic Analysis." Thesis, 2005. https://etd.iisc.ac.in/handle/2005/1358.

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Reddy, Annem Narayana. "A New Variable Moduli 14-Node Element For Elasto-Plastic Analysis." Thesis, 2005. http://etd.iisc.ernet.in/handle/2005/1358.

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Books on the topic "Classical Plasticity Theory"

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Öchsner, Andreas. Elements of Classical Plasticity Theory. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-14201-7.

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Służalec, Andrzej. Theory of Metal Forming Plasticity: Classical and Advanced Topics. Springer Berlin Heidelberg, 2004.

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Służalec, Andrzej. Theory of metal forming plasticity: Classical and advanced topics. Springer, 2004.

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Öchsner, Andreas. Elements of Classical Plasticity Theory. Springer International Publishing AG, 2022.

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Steigmann, David J. Elements of plasticity theory. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198567783.003.0013.

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Chapter 13 develops the modern theory for finite elastic-plastic deformations. It covers dissipation and highlights the role of the Eshelby tensor, and recovers the classical theory for isotropic materials using material symmetry arguments. Also developed are the equations of classical slip-line theory for plane-strain deformations.
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Theory of Metal Forming Plasticity: Classical and Advanced Topics. Springer, 2003.

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Stokes, John. Beyond Sculpture. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198789260.003.0006.

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In the 1880s, Wilde responded with enthusiasm to reconstructions of classical Greek theatre staged in Oxford, Cambridge, and London, and his published reviews draw extensively on his own classical training together with ideas taken from Georg Wilhelm Friedrich Hegel, Walter Pater, and John Addington Symonds. He took a similar interest in contemporary plays based on classical subjects, such as Alfred Lord Tennyson’s The Cup and John Todhunter’s Helena in Troas. This chapter describes how Wilde’s experience of Greek theatre and its offshoots in live performance contributed to his fascination with the art of the actor, with theatrical space, with the deployment of scenery, and with the relation of archaeology to architecture. It concludes by tracing an underlying shift in his dramatic theory from ‘plasticity’ to ‘psychology’.
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Cox, Fiona, and Elena Theodorakopoulos, eds. Homer's Daughters. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198802587.001.0001.

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This collection of essays examines the various ways in which the Homeric epics have been responded to, reworked, and rewritten by women writers of the twentieth and early twenty-first centuries. Beginning in 1914 with the First World War, it charts this understudied strand of the history of Homeric reception over the subsequent century up to the present day, analysing the extraordinary responses to both the Odyssey and the Iliad by women from around the world. The backgrounds of these authors and the genres they employ—memoir, poetry, children’s literature, rap, novels—testify not only to the plasticity of Homeric epic, but also to the widening social classes to whom Homer appeals, and it is unsurprising to see the myriad ways in which women writers across the globe have played their part in the story of Homer’s afterlife. From surrealism to successive waves of feminism to creative futures, Homer’s footprint can be seen in a multitude of different literary and political movements, and the essays in this volume bring an array of critical approaches to bear on the work of authors ranging from H.D. and Simone Weil to Christa Wolf, Margaret Atwood, and Kate Tempest. Students and scholars of classics—as well as those in the fields of translation studies, comparative literature, and women’s writing—will find much to interest them, while the volume’s concluding reflections by Emily Wilson on her new translation of the Odyssey are an apt reminder to all of just how open a text can be, and of how great a difference can be made by a woman’s voice.
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Book chapters on the topic "Classical Plasticity Theory"

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Öchsner, Andreas. "Theory of One-Dimensional Plasticity." In Elements of Classical Plasticity Theory. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-14201-7_2.

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Öchsner, Andreas. "Theory of Three-Dimensional Plasticity." In Elements of Classical Plasticity Theory. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-14201-7_3.

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Öchsner, Andreas. "Elasto-plastic Finite Element Simulations." In Elements of Classical Plasticity Theory. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-14201-7_4.

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Öchsner, Andreas. "Introduction." In Elements of Classical Plasticity Theory. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-14201-7_1.

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Steigmann, David J. "Isotropy." In A Course on Plasticity Theory. Oxford University PressOxford, 2023. http://dx.doi.org/10.1093/oso/9780192883155.003.0007.

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Abstract Isotropic materials occupy a prominent position in the classical theory of plasticity. This subject is reconsidered here from the vantage point of the modern theory. It is shown that the classical theory of rigid-perfectly plastic materials emerges naturally from the modern framework based on material symmetry considerations pertaining to isotropy. This enables the classical theory to be understood from the modern perspective, thereby promoting confidence in both the classical and modern theories.
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Steigmann, David J. "Strain hardening, rate sensitivity, and gradient plasticity." In A Course on Plasticity Theory. Oxford University PressOxford, 2023. http://dx.doi.org/10.1093/oso/9780192883155.003.0009.

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Abstract Models of strain hardening and rate sensitivity are described. The classical model of isotropic hardening, applicable to any kind of material symmetry, is discussed, together with the modeling of the elastic-viscoplastic response of isotropic and crystalline materials. Scale-dependent yielding is modeled by including kinematic descriptors of plastic strain incompatibility in the yield function, and an original model of the Bauschinger effect is proposed in the context of recent developments in the field of gradient plasticity for crystalline solids
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Kobayashi, Shiro, Soo-Ik Oh, and Taylan Altan. "Plasticity and Viscoplasticity." In Metal Forming and the Finite-Element Method. Oxford University Press, 1989. http://dx.doi.org/10.1093/oso/9780195044027.003.0007.

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The theory of plasticity describes the mechanics of deformation in plastically deforming solids, and, as applied to metals and alloys, it is based on experimental studies of the relations between stresses and strains under simple loading conditions. The theory described here assumes the ideal plastic body for which the Bauschinger effect and size effects are neglected. The theory also is valid only at temperatures for which recovery, creep, and thermal phenomena can be neglected. The basic theory of classical plasticity is described by Hill, and also in References, in addition to the books listed in Chap. 1. A concise description of the general plasticity theory necessary for metal forming is given in the book by Johnson et al.. In this chapter, certain important aspects of the theory are presented in order to elucidate the developments of the finite-element solutions of metal-forming problems discussed in this book. First, various measures of stress and strain are introduced. Then, the governing equations for plastic deformation and principles that are the foundations for the analysis are described. The extension of the theory of plasticity to time-dependent theory of viscoplasticity is outlined in Section 4.8. Particular references are made, in Sections 4.3 through 4.7, to the books by Hill and by Johnson and Mellor, and to the section on general plasticity theory in the book by Johnson et al.. The basic quantities that may be used to describe the mechanics of deformation when a body deforms from one configuration to another under an external load are the stress, strain, and strain-rate. Various measures of these quantities are defined, depending upon how closely formulations represent actual situations. Although it is not possible to provide the complete mathematical formulations in one-dimensional deformation, these measures are introduced for the case of simple uniaxial tension. Consider the uniaxial tension test of a round specimen whose initial length is l0 and cross-sectional area is A0. The specimen is stretched in the axial direction by the force P to the length l and the cross-sectional area A at time t, as shown in Fig. 4.1. The response of the material is recorded as the load-displacement curve, and converted to the stress-strain curve as shown in the figure. The deformation is assumed to be homogeneous until necking begins.
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Anand, Lallit, and Sanjay Govindjee. "Small deformation rate-independent plasticity based on a postulate of maximum dissipation." In Continuum Mechanics of Solids. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198864721.003.0023.

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This chapter introduces the concept of maximum dissipation. The elastic set is introduced, and the plastic dissipation is maximized over the elastic set using classical methods from linear programming theory. The plastic flow direction is seen to be generally normal to the yield surface when the plastic dissipation is maximized. The Kuhn-Tucker complementarity conditions are seen in this context to arise from the postulated optimization problem, and the elastic set is seen to be necessarily convex. The concept of maximum dissipation is applied to a Mises material and the models of the earlier chapters are seen to be recovered.
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Benarroch, Eduardo E. "Neurotransmission, Neuromodulation, and Plasticity." In Neuroscience for Clinicians, edited by Eduardo E. Benarroch. Oxford University Press, 2021. http://dx.doi.org/10.1093/med/9780190948894.003.0016.

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Neurochemical signals released at synapses or by perisynaptic glial cell processes include excitatory and inhibitory amino acids, acetylcholine, monoamines, neuropeptides, purines, lipid mediators, nitric oxide, growth factors, cytokines, and extracellular matrix proteins. These signals produce three fundamental effects on their target: classical neurotransmission, neuromodulation, and plasticity. Classical neurotransmission is the rapid, precise transmission of excitatory or inhibitory signals. Neuromodulation affects the probability of neurotransmitter release or responsiveness of the postsynaptic cells to the neurotransmitter. Synaptic plasticity refers to the use-dependent changes in efficacy of transmission of excitatory signals, eventually associated with change in dendritic structure and connectivity. Plasticity also involves interactions among synapses, glial cell, and the extracellular matrix. Abnormalities of synaptic transmission and plasticity are common disease mechanisms in neurologic disorders and are therapeutic targets.
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Reybrouck, Mark. "Musical Information Beyond Measurement and Computation." In Advances in Multimedia and Interactive Technologies. IGI Global, 2016. http://dx.doi.org/10.4018/978-1-5225-0270-8.ch006.

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This chapter elaborates on the concepts of music information and information processing by bringing together the fields of computation, cybernetics and the dynamic systems approach. It conceives of music users as autonomous agents that behave as adaptive devices that construct their musical knowledge as the outcome of continuous epistemic interactions with the sonic world. As such, it challenges the classical symbolic-conceptual approach to musical information in terms of static, discrete and objective categories in favor of a trans-classical model that relies on subjective, process-like and non-discrete categories of meaning. In an attempt to go beyond traditional dichotomies, it proposes a hybrid perceptual-conceptual approach that does justice both to the richness and fullness of perceptual experience and the plasticity of mental operations in a kind of symbolic play.
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Conference papers on the topic "Classical Plasticity Theory"

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Voyiadjis, George Z., and Robert J. Dorgan. "Formulation of a Gradient Enhanced Coupled Damage-Plasticity Model." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-59890.

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An overview of the formulation of a gradient enhanced continuum coupled damage-plasticity model as a constitutive framework to model the nonlocal response of materials is presented. The formulation uses a thermodynamically consistent framework to introduce material length scales through the gradients of the hardening variables. The development of evolution equations for plasticity and damage is treated in a similar mathematical approach and formulation since both address defects such as dislocations for the former and cracks/voids for the later. The gradient enhancements are investigated as powerful tools for modeling observations at the microscale that are not possible to interpret with classical deformation models. By the introduction of higher order gradients, this model is able to predict the size of localized zones based on material constants, as opposed to local models where the loss of ellipticity causes the localized zones to be mesh dependent. Justification for the gradient theory is given by approximating nonlocal theory through a truncated Taylor expansion.
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Novak, Jiri. "Prediction of Ductile Fracture as a Process Controlled by Cavitation Instability." In ASME 2009 Pressure Vessels and Piping Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/pvp2009-77027.

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Recently, we applied criterion of initiation of deformation bands based on bifurcation analysis as a criterion of ductile fracture. Experience shows that this procedure yields realistic results if plastic behavior is described by deformation theory of plasticity, with corresponding stress-strain dependence — especially with transition between strain hardening stages III and IV. But it is generally known that under high stress triaxilities, fracture strain depends strongly on stress triaxiality. If deformation theory of plasticity is suitable for modeling of constitutive properties of polycrystalline metals, it should lead to good results in prediction of cavitation instability as a criterion of ductile fracture under high triaxialities as well. We present prediction of fracture strains for reactor pressure vessel steel, in comparison with experimental results. Criterion of cavitation instability based on deformation theory of plasticity predicts similar dependence of fracture strain on stress triaxiality as the classical Rice-Tracey void growth model does, but, moreover, in contrast to the Rice-Tracey model, it predicts absolute values of critical strains. Finally, important role of deformation theory of plasticity in other areas of material engineering and structural integrity analysis is shortly remembered.
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Janosik, Lesley A., and Stephen F. Duffy. "A Viscoplastic Constitutive Theory for Monolithic Ceramics: I." In ASME 1996 International Gas Turbine and Aeroengine Congress and Exhibition. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/96-gt-368.

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This paper, which is the first of two in a series, provides an overview of a viscoplastic constitutive model that accounts for time-dependent material deformation (e.g., creep, stress relaxation, etc.) in monolithic ceramics. Using continuum principles of engineering mechanics the complete theory is derived from a scalar dissipative potential function first proposed by Robinson (1978), and later utilized by Duffy (1988). Derivations based on a flow potential function provide an assurance that the inelastic boundary value problem is well posed, and solutions obtained are unique. The specific formulation used here for the threshold function (a component of the flow potential function) was originally proposed by Willam and Warnke (1975) in order to formulate constitutive equations for time-independent classical plasticity behavior observed in cement and unreinforced concrete. Here constitutive equations formulated for the flow law (strain rate) and evolutionary law employ stress invariants to define the functional dependence on the Cauchy stress and a tensorial state variable. This particular formulation of the viscoplastic model exhibits a sensitivity to hydrostatic stress, and allows different behavior in tension and compression.
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Mikami, Akira, Yuji Sato, Akihito Otani, Kosuke Iwamoto, and Toru Iijima. "The Ultimate Strength of Cylindrical Liquid Storage Tanks Under Earthquakes: Elasto-Plastic Dynamic Analysis With FSI of Buckling Failure Modes." In ASME 2009 Pressure Vessels and Piping Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/pvp2009-77067.

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The objective of this study is to simulate the shaking test of a condensate storage tank (CST). In this test, the typical failure mode was an elephant-foot bulge (EFB) or a shear buckling. It is difficult to reproduce such buckling modes. However, at last, an analytical model which describes those modes with enough accuracy was achieved. The comparison between simulation results and experiments is explained. Acoustic theory and classical plasticity theory were used in the FEM simulation. The phase and magnitude of the response acceleration and hydraulic pressure obtained from the FEM simulation are well corresponded to those from the experiments. In addition, asymmetrical distribution of maximum and minimum hydraulic pressure is described.
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Park, Young H. "Material Processing Simulation Using a Meshfree Method." In ASME 2002 Pressure Vessels and Piping Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/pvp2002-1196.

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In this paper, material processing simulation is carried out using a meshfree method. The domain of the workpiece is discretized using the Lagrangian Reproducing Kernel Particle Method (RKPM) where no external meshes are used. The proposed method is formulated for path-dependent material behavior and frictional contact condition. In order to handle large deformation problems, a finite plasticity theory is formulated based on the multiplicative decomposition. The presented formulation is characterized by specifying the elastic domain via any classical yield criterion formulated in terms of Kirchhoff stresses, and a hyperelastic stored energy function relative to the intermediate configuration. A numerical example is demonstrated using the proposed method.
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Saidi, Ali Reza, and Koichi Hashiguchi. "A Corotational Elastoplastic Formulation With Subloading Surface Model for Hardening Materials." In ASME 7th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2004. http://dx.doi.org/10.1115/esda2004-58401.

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In this paper a corotational constitutive model for the large elastoplastic deformation of hardening materials using subloading surface model is formulated. This formulation is obtained by refining the large deformation theory of Naghdabadi and Saidi (2002) adopting the corotational logarithmic (Hencky) strain rate tensor and incorporating it into the subloading surface model of Hashiguchi (1980, 2003) falling within the framework of the unconventional plasticity. As an application of the proposed constitutive model, the large Elastoplastic deformation of simple shear example has been solved and the results have been compared with classical elasto-plastic model using the Hencky strain tensor. Also the effect of the choice of corotational rates on stress components has been studied.
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Abu Al-Rub, Rashid K., and George Z. Voyiadjis. "Modeling the Size and Interface Effects in Thin Metal Film-Substrate Systems Using the Strain Gradient Plasticity." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-42020.

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It is well-known by now through intensive experimental studies that have been performed at the micron and nano length scales that the material mechanical properties strongly depend on the size of specimen and the microstructural features. The classical continuum mechanics fails to address this problem since no material length scale exists in its constitutive description. On the other hand, nonlocal continuum theories of integral-type or gradient-type have been to a good extent successful in predicting this type of size effect. However, they fail to predict size effects when strain gradients are minimal such as the Hall-Petch effect. This problem is the main focus of this work. The effect of the material microstructural interfaces increase as the surface-to-volume ratio increases. It is shown in this work that interfacial effects have a profound impact on the scale-dependent plasticity encountered in micro/nano-systems. This is achieved by developing a higher-order gradient-dependent plasticity theory that enforces microscopic boundary conditions at interfaces and free surfaces. These nonstandard boundary conditions relate the microtraction stress at the interface to the interfacial energy. Application of the proposed framework to size effects in shear loading of a thin-film on an elastic substrate is presented. Three film-interface conditions are modeled: soft, intermediate, and hard interfaces.
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8

Barbero, Ever J., Joan A. Mayugo, and Paolo Lonetti. "Three-Dimensional Continuum Damage Model for Polymer Matrix Composites." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-59171.

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A constitutive model for fiber reinforced composite materials with damage and unrecoverable deformation, which for the first time accounts for thru-the-thickness damage, is presented. The formulation is based on Continuous Damage Mechanics coupled with Classical Plasticity Theory in a consistent thermodynamic framework using internal state variables. A novel formulation of the parameter identification is included in order to describe the main failure modes of polymer matrix composite laminae. The new parameter identification is simpler than those available in the literature. It is also more sensitive and allows for better control of material behavior to match experimental data. Furthermore, it uses material properties that are simpler to test than previous models. The model uses a small number of adjustable parameters, which are identified from available experimental data. Comparisons with experimental data for composite laminates under in plane and torsion loading are shown to validate the model. The new model, although simpler than previous ones, is able to model all experimentally observed behavior of laminates that were previously modeled with more complex models.
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9

Orynyak, Igor, Julia Bai, and Roman Mazuryk. "Analytical Limit Load Formula and Procedure for Strength Calculation of Axial Complex Shaped Defect in Pipe." In ASME 2021 Pressure Vessels & Piping Conference. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/pvp2021-61640.

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Abstract This paper describes the analytical model for complex shaped axial defects. The model is based on classical lower bound limit load theorem of theory of plasticity, and consists in construction of statically admissible solution (distribution of stress which satisfies to equilibrium equations). Its main advantage is the possibility to explicitly take into account a lot of geometrical (complex shape) and physical parameters (additional axial loading, variance of material properties along the axis), — while still retaining its relatively simple application and appearance. So, contrary to other approaches, the formula for rectangular defect here is only a particular case of application of the general procedure. The main focus of the paper is description and justification of numeric algorithm of this general procedure (named here as O-procedure) for axial complex defect in pipe under internal pressure, which in fact is an optimization process to get the most favorable stress distribution. Four different approaches for complex shaped defect are compared. First, ASME (named here as A-) rectangular defect formula combined with RSTRENG (named here as R) procedure, i.e., A-R approach. Second, PCORRC (P-) formula with R-procedure, P-R approach. Third, Orynyak (O-) rectangular formula with R-procedure, O-R approach. Fourth, our universal procedure (as goal of the paper), O-procedure. The comparison is performed as for some artificial complex defects, for example, two interacting rectangular defects, as well as for known full scale test performed in Waterloo University. Further considerations as to enhancing of the theory and its experimental verification are made.
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Huang, Songhua, Yugong Xu, Lele Zhang, Geng Chen, Fuming Zeng, and Feng Liu. "Ultimate Lightweight Design Based on Shakedown Strength and Its Application on Designing a Manned Airtight Module." In ASME 2021 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/imece2021-69225.

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Abstract Structural lightweight optimization design is classically performed according to the elastic limit rule, which leads to an unacceptable structure weight or strength redundant to an extent. Shakedown theory is implemented in the present study to assess the load-bearing capacity of the structure. Within the shakedown load limit, failure forms of ratcheting, incremental collapse and alternate plasticity will be avoided. Moreover, the full potential of a material can be utilized by following the shakedown limit framework. Therefore, under this framework, by sacrificing some abundant loading bearing capacity, an extremely lightweight design of the structure can be reached. The current research presents a mathematical and algorithmic framework for producing extreme lightweight designs of structures that exhibit constrained shakedown loading capacity, which is an innovative means to the lightweight design and makes the optimal structure design in a relatively practical way. The hybrid genetic algorithm is introduced to obtain a more accurate global solution. The accuracy and effectiveness of the proposed numerical optimization method are validated and demonstrated by a classical problem and subsequently adopted in optimal parameter design of the connecting structure to be used in a manned airtight module. In the end, the research suggests an optimal result for both load capacity and lightweight design for the manned airtight module. And an ultimate lightweight design is given by sacrificing redundant load capacity. This study confirmed that the hybrid genetic algorithm is an effective means for determining the optimal parameter in accordance with the shakedown constraints. In addition, the results of this study support the idea that shakedown analysis should be used in the optimization design of airtight modules instead of using the traditional elastic limit rule. As the load capacity evaluates by shakedown analysis would be more factual. Moreover, this study highlights the design performance enhancements attributed to allowing redundant shakedown load capacity to exchange an ultimate reduction of material.
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Reports on the topic "Classical Plasticity Theory"

1

Brannon, Rebecca Moss, Jeffrey A. Burghardt, Stephen J. Bauer, and David R. Bronowski. Experimental assessment of unvalidated assumptions in classical plasticity theory. Office of Scientific and Technical Information (OSTI), 2009. http://dx.doi.org/10.2172/948711.

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2

Oliynyk, Kateryna, and Matteo Ciantia. Application of a finite deformation multiplicative plasticity model with non-local hardening to the simulation of CPTu tests in a structured soil. University of Dundee, 2021. http://dx.doi.org/10.20933/100001230.

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In this paper an isotropic hardening elastoplastic constitutive model for structured soils is applied to the simulation of a standard CPTu test in a saturated soft structured clay. To allow for the extreme deformations experienced by the soil during the penetration process, the model is formulated in a fully geometric non-linear setting, based on: i) the multiplicative decomposition of the deformation gradient into an elastic and a plastic part; and, ii) on the existence of a free energy function to define the elastic behaviour of the soil. The model is equipped with two bonding-related internal variables which provide a macroscopic description of the effects of clay structure. Suitable hardening laws are employed to describe the structure degradation associated to plastic deformations. The strain-softening associated to bond degradation usually leads to strain localization and consequent formation of shear bands, whose thickness is dependent on the characteristics of the microstructure (e.g, the average grain size). Standard local constitutive models are incapable of correctly capturing this phenomenon due to the lack of an internal length scale. To overcome this limitation, the model is framed using a non-local approach by adopting volume averaged values for the internal state variables. The size of the neighbourhood over which the averaging is performed (characteristic length) is a material constant related to the microstructure which controls the shear band thickness. This extension of the model has proven effective in regularizing the pathological mesh dependence of classical finite element solutions in the post-localization regime. The results of numerical simulations, conducted for different soil permeabilities and bond strengths, show that the model captures the development of plastic deformations induced by the advancement of the cone tip; the destructuration of the clay associated with such plastic deformations; the space and time evolution of pore water pressure as the cone tip advances. The possibility of modelling the CPTu tests in a rational and computationally efficient way opens a promising new perspective for their interpretation in geotechnical site investigations.
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